In Fig. 6.23, ∆PQR ≅ ∆______. Fill in the blanks to make the statement true.

Solution:

Given, the figure represents two triangles PQR and RSP.

We have to fill in the blanks to make the statement true.

The SAS criterion states that If two sides of one triangle are respectively proportional to two corresponding sides of another, and if the included angles are equal, then the two triangles are congruent.

By SAS rule,

QR = SP = 4.1 cm

Common side = PR

∠SPR = ∠QRP = 45°

Therefore, ∆PQR ≅ ∆RSP

✦ Try This: In Fig, ∆ABC ≅ ∆_______. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 65

In Fig. 6.23, ∆PQR ≅ ∆______. Fill in the blanks to make the statement true.

Summary:

In Fig. 6.23, ∆PQR ≅ ∆RSP

☛ Related Questions:

• In Fig. 6.24, ∆____ ≅ ∆ PQR. Fill in the blanks to make the statement true
• In Fig. 6.25, ∆ ARO ≅ ∆ _____. Fill in the blanks to make the statement true
• In Fig. 6.26, AB = AD and ∠BAC = ∠ DAC. Then (i) ∆___ ≅ ∆ ABC. (ii) BC = ___. (iii) ∠BCA = ______. ( . . . .